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Questions in mathematics

[Answered] Which function has an inverse that is also a function? [tex] \{(-4,3),(-2,7),(-1,0),(4,-3),(11,-7)\} [/tex] [tex] \{(-4,6),(-2,2),(-1,6),(4,2),(11,2)\} [/tex] [tex] \{(-4,5),(-2,9),(-1,8),(4,8),(11,4)\} [/tex] [tex] \{(-4,4),(-2,-1),(-1,0),(4,1),(11,1)\} [/tex]

[Answered] Select the correct answer. What is the approximate solution to this equation? [tex]$15(3)^{2 x}=90$[/tex] A. [tex]$x=\frac{2 \log 6}{\log 3}$[/tex] B. [tex]$x=\frac{2 \log 3}{\log 6}$[/tex] C. [tex]$x=\frac{\log 3}{2 \log 6}$[/tex] D. [tex]$x=\frac{\log 6}{2 \log 3}$[/tex]

[Answered] The water level of a river is below normal levels. Its water level is at $1 \frac{1}{2}$ meters below sea level. During the summer, the river drops another $2 \frac{1}{3}$ meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer. The water level is $\square$ meters from sea level.

[Answered] Solve [tex]\frac{1}{25}=5^{x+4}[/tex]

[Answered] Write an equivalent expression by distributing the "-" sign outside the parentheses: $-(-8 r-9.8 s)+8.1$

[Answered] A solid right pyramid has a regular hexagonal base with an area of [tex]$5.2 cm^2$[/tex] and a height of [tex]$h cm$[/tex]. Which expression represents the volume of the pyramid? A. [tex]$\frac{1}{5}(5.2) h cm^3$[/tex] B. [tex]$\frac{1}{5 h}(5.2) h cm^3$[/tex] C. [tex]$\frac{1}{3}(5.2) h cm^3$[/tex] D. [tex]$\frac{1}{3 h}(5.2) h cm^3$[/tex]

[Answered] The dimensions of a rectangle are $\sqrt{50 a^3 b^2}$ and $\sqrt{200 a^3}$. A student found the perimeter as follows: $\begin{aligned} 2 \sqrt{50 a^3 b^2}+2 \sqrt{200 a^3} & =2 \cdot 5 a b \sqrt{2 a}+2 \cdot 10 a \sqrt{2 a} \\ & =10 a b \sqrt{2 a}+20 a \sqrt{2 a} \\ & =30 a b \sqrt{2 a} \end{aligned}$ What is the student's error? A. The student should not have multiplied each expression by two. B. The student simplified $2 \sqrt{50 a^3 b^2}$ incorrectly. C. The student simplified $2 \sqrt{200 a^3}$ incorrectly. D. The student incorrectly simplified $10 a b \sqrt{2 a}+20 a \sqrt{2 a}$.

[Answered] Use properties to rewrite the given equation. Which equations have the same solution as the equation [tex]$\frac{3}{5} x+\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5} x$[/tex] Select three options. A. [tex]$\frac{8}{5} x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5} x$[/tex] B. [tex]$18 x+20+30 x=15-6 x$[/tex] C. [tex]$18 x+20+x=15-6 x$[/tex] D. [tex]$24 x+30 x=-5$[/tex] E. [tex]$12 x+30 x=-5$[/tex]

[Answered] \begin{tabular}{|c|c|} \hline $1.5 \times 0.1$ \\ \hline $1.5 \times 1.1$ \\ \hline $1.5 \times 1.5$ \\ \hline \end{tabular}

[Answered] Add and simplify: [tex]$\frac{16}{a}+\frac{-14}{a^2}$[/tex]